4 citations · 14 across the 18 of their papers we have counts for
5 papers · 1 filter
Continuity of reachable sets of restricted affine control systems
Victor Ayala, Adriano Da Silva
In this paper we give a direct proof that for a restricted affine control system on a connected manilfold M, the associated reachable sets up to time t varies continuously with the…
Topological entropy of a Lie group automorphism
Victor Ayala, Adriano Da Silva, Heriberto Román-Flores
Let ϕ be an automorphism on a connected Lie group G. Through several G-subgroups associated to the dynamics of ϕ we analyze their topological entropy. Assume that G belongs to the…
Topological conjugacy of linear systems on Lie groups
A. Da Silva, A. J. Santana, S. N. Stelmastchuk
In this paper we study a classification of linear systems on Lie groups with respect to the conjugacy of the corresponding flows. We also describe stability according to Lyapunov e…
Control Systems on Flag Manifolds and their chain Control sets
Victor Ayala, Adriano Da Silva, Luiz A. B. San Martin
In this paper we shown that the chain control sets of induced systems on flag manifolds coincides with their analogous one defined via semigroup actions. Consequently, any chain co…
Control sets of linear systems on Lie groups
Adriano Da Silva, Victor Ayala, Guilherme Zsigmond
Linear systems on Lie groups are a natural generalization of linear system on Euclidian spaces. For such systems, this paper studies the properties of the maximal sets of approxima…